where \(\Delta M_k=2\) . Recently there has been a discussion
[1]}, [2]}, [3]}, [4]} on which is the
most suitable definition of work to be used in such non-equilibrium
work theorems. Already from the initial Jarzynski works
[5]}, it was proposed that if the system is driven by
controlling the external field, the convenient definition of work is
the integral over the trajectory \(V=\int M dH\) . Note that along a
metastable trajectory , the two definitions of work are related by
\(W=\Delta (HM)-V\) . Without going into the discussion, we will
numerically test here the two possibilities. In Sec.  we will
test whether the crossing point \(W^*\)  of the histograms \(P_F(W)\)  and
\(P_R(-W)\)  satisfies
\(W^* = \langle \Delta U \rangle \) 
